Best Proximity Pairs Theorems for Continuous Set-Valued Maps
R. P. Agarwal, D. O'Regan, A. P. Farajzadeh and 1 more
Fixed Point Theory and Applications · 2008
doi:10.1155/2008/607926 (opens in a new tab)
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Abstract
A best proximity pair for a set-valued map "Equation missing"<!-- image only, no MathML or LaTex --> with respect to a set-valued map "Equation missing"<!-- image only, no MathML or LaTex --> is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.
Abstract licence: CC BY
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